Supersymmetric V-systems
High Energy Physics - Theory
2019-03-01 v2 Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We construct superconformal quantum mechanical system for any configuration of vectors forming a V-system. In the case of a Coxeter root system the bosonic potential of the supersymmetric Hamiltonian is the corresponding generalised Calogero-Moser potential. We also construct supersymmetric generalised trigonometric Calogero-Moser-Sutherland Hamiltonians for some root systems including .
Cite
@article{arxiv.1812.02643,
title = {Supersymmetric V-systems},
author = {Georgios Antoniou and Misha Feigin},
journal= {arXiv preprint arXiv:1812.02643},
year = {2019}
}
Comments
31 pages; minor changes